Publications
2026
Journal articles
Accelerated Gradient Dynamics on Riemannian Manifolds: Faster Rate and Trajectory Convergence
Optimization:1-27, 2026. PDF
Stochastic Inertial Dynamics Via Time Scaling and Averaging
Stochastic Systems, 16(1):1-107, 2026. PDF
Near-optimal Closed-loop Method via Lyapunov Damping for Convex Optimization
Journal of Optimization Theory and Applications, 208(93), 2026. PDF
Conference papers
Understanding the Curse of Unrolling
Advances in Neural Information Processing Systems (NeurIPS), 2026. PDF
Preprints and other
A Probabilistic Framework for Learnable Optimization Algorithms
Technical Report, ArXiv e-prints, arXiv:2408.11629, 2026. PDF
Euclidean Distance-Based Flow Matching
Technical Report, ArXiv e-prints, arXiv:2610.18534, 2026. PDF
2025
Journal articles
Inertial Quasi-Newton Methods for Monotone Inclusion: Efficient Resolvent Calculus and Primal-Dual Methods
SIAM Journal on Imaging Sciences, 18(1):308-344, 2025. PDF
Learning-to-Optimize with PAC-Bayesian Guarantees: Theoretical Considerations and Practical Implementation
Journal of Machine Learning Research (JMLR), 2025. PDF
Conference papers
Automatic Differentiation of Optimization Algorithms with Time-Varying Updates
International Conference on Machine Learning (ICML), 2025. PDF
A Generalization Result for Convergence in Learning-to-Optimize
International Conference on Machine Learning (ICML), 2025. Oral Presentation PDF
From Learning to Optimize to Learning Optimization Algorithms
International Conference on Artificial Intelligence and Statistics (AISTATS), 2025. PDF
Preprints and other
Convergence rates of regularized quasi-Newton methods without strong convexity
Technical Report, ArXiv e-prints, arXiv:2506.00521, 2025. PDF
Bregman Stochastic Proximal Point Algorithm with Variance Reduction
Technical Report, ArXiv e-prints, arXiv:2510.16655, 2025. PDF
2024
Journal articles
Continuous Newton-like Methods featuring Inertia and Variable Mass
SIAM Journal on Optimization, 34(1):251-277, 2024. PDF
Preprints and other
Tikhonov Regularization for Stochastic Non-Smooth Convex Optimization in Hilbert Spaces
Technical Report, ArXiv e-prints, arXiv:2403.06708, 2024. PDF
Inertial Methods with Viscous and Hessian driven Damping for Non-Convex Optimization
Technical Report, ArXiv e-prints, arXiv:2407.12518, 2024. PDF
Global non-asymptotic super-linear convergence rates of regularized proximal quasi-Newton methods on non-smooth composite problems
Technical Report, ArXiv e-prints, arXiv:2410.11676, 2024. PDF
2023
Journal articles
An Abstract Convergence Framework with Application to Inertial Inexact Forward-Backward Methods
Computational Optimization and Applications, 84:319-362, 2023. PDF
Conference papers
PAC-Bayesian Learning of Optimization Algorithms
In F. Ruiz, J. Dy, J-W. van de Meent (Eds.): International Conference on Artificial Intelligence and Statistics. Proceedings of Machine Learning Research, Vol. 206, 8145-8164, 2023. PDF
A Quasi-Newton Primal-Dual Algorithm with Line Search
International Conference on Scale Space and Variational Methods in Computer Vision (SSVM). Lecture Notes in Computer Science, Springer, 2023. PDF
2022
Journal articles
Global Convergence of Model Function Based Bregman Proximal Minimization Algorithms
Journal of Global Optimization, 83:753-781, 2022. PDF
Preprints and other
Fixed-Point Automatic Differentiation of Forward–Backward Splitting Algorithms for Partly Smooth Functions
Technical Report, ArXiv e-prints, arXiv:2208.03107, 2022. PDF
An SDE perspective on stochastic convex optimization
Technical Report, ArXiv e-prints, arXiv:2207.02750, 2022. PDF
2021
Conference papers
Differentiating the Value Function by using Convex Duality
International Conference on Artificial Intelligence and Statistics, 2021. PDF
Bregman Proximal Framework for Deep Linear Neural Networks
International Conference on Scale Space and Variational Methods in Computer Vision (SSVM). Lecture Notes in Computer Science, Springer, 2021. PDF
2020
Journal articles
Bregman Proximal Mappings and Bregman-Moreau Envelopes under Relative Prox-Regularity
Journal of Optimization Theory and Applications, 184(3):724-761, 2020. PDF
Convex-Concave Backtracking for Inertial Bregman Proximal Gradient Algorithms in Non-Convex Optimization
SIAM Journal on Mathematics of Data Science, 2(3):658-682, 2020. PDF
Conference papers
Automatic Differentiation of Some First-Order Methods in Parametric Optimization
International Conference on Artificial Intelligence and Statistics, 2020. PDF
2019
Journal articles
Unifying abstract inexact convergence theorems and block coordinate variable metric iPiano
SIAM Journal on Optimization, 29(1):541-570, 2019. PDF
Non-smooth Non-convex Bregman Minimization: Unification and new Algorithms
Journal of Optimization Theory and Applications, 181(1):244-278, 2019. PDF
On Quasi-Newton Forward–Backward Splitting: Proximal Calculus and Convergence
SIAM Journal on Optimization, 29(4):2445-2481, 2019. PDF
Conference papers
Model Function Based Conditional Gradient Method with Armijo-like Line Search
In K. Chaudhuri, R. Salakhutdinov (Eds.): International Conference on Machine Learning (ICML). Proceedings of Machine Learning Research, Vol. 97, 4891-4900, PMLR, 2019. PDF
AFSI: Adaptive restart for fast semi-iterative schemes for convex optimisation
In T. Brox, A. Bruhn, M. Fritz (Eds.): German Conference on Pattern Recognition (GCPR). Lecture Notes in Computer Science, Vol. 11269, 669-681, Springer, 2019. PDF
Beyond Alternating Updates for Matrix Factorization with Inertial Bregman Proximal Gradient Algorithms
Conference on Neural Information Processing Systems (NeurIPS), 2019. PDF
2018
Journal articles
Local Convergence of the Heavy-ball Method and iPiano for Non-convex Optimization
Journal of Optimization Theory and Applications, 177(1):153-180, 2018. PDF
Conference papers
Lifting Layers: Analysis and Applications
In V. Ferrari, M. Hebert, C. Sminchisescu, Y. Weiss (Eds.): European Conference on Computer Vision (ECCV). Springer International Publishing, 2018. Oral Presentation PDF
2016
Journal articles
Techniques for gradient based bilevel optimization with nonsmooth lower level problems
Journal of Mathematical Imaging and Vision, 56(2):175-194, 2016. Invited Paper PDF
Conference papers
Robust interactive multi-label segmentation with an advanced edge detector
In B. Andres, B. Rosenhahn (Eds.): German Conference on Pattern Recognition (GCPR). Lecture Notes in Computer Science, Vol. 9796, 117-128, Springer, 2016. PDF
FSI schemes: Fast semi-iterative solvers for PDEs and Optimisation Methods
In B. Andres, B. Rosenhahn (Eds.): German Conference on Pattern Recognition (GCPR). Lecture Notes in Computer Science, Vol. 9796, 91-102, Springer, 2016. Best Paper Award PDF
2015
Journal articles
iPiasco: Inertial Proximal Algorithm for strongly convex Optimization
Journal of Mathematical Imaging and Vision, 53(2):171-181, 2015. PDF
On iteratively reweighted algorithms for non-smooth non-convex optimization in computer vision
SIAM Journal on Imaging Sciences, 8(1):331-372, 2015. PDF
Conference papers
Bilevel Optimization with Nonsmooth Lower Level Problems
In J.-F. Aujol, M. Nikolova, N. Papadakis (Eds.): International Conference on Scale Space and Variational Methods in Computer Vision (SSVM). Lecture Notes in Computer Science, Vol. 9087, 654-665, Springer, 2015. Best Paper Award PDF
Preprints and other
Long Term Motion Analysis for Object Level Grouping and Nonsmooth Optimization Methods
PhD Thesis, Albert-Ludwigs-Universität Freiburg, 2015. PDF
2014
Journal articles
Segmentation of moving objects by long term video analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence, 36(6):1187-1200, 2014. PDF
iPiano: Inertial Proximal Algorithm for Non-convex Optimization
SIAM Journal on Imaging Sciences, 7(2):1388-1419, 2014. PDF
2013
Conference papers
An iterated L1 Algorithm for Non-smooth Non-convex Optimization in Computer Vision
IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2013. PDF
2012
Journal articles
Multiview deblurring for 3-D images from light sheet based fluorescence microscopy
IEEE Transactions on Image Processing, 21(4):1863-1873, 2012.
Conference papers
Hierarchy of Localized Random Forests for Video Annotation
In A. Pinz, T. Pock, H. Bischof, F. Leberl (Eds.): Pattern Recognition (Proc. DAGM). Lecture Notes in Computer Science, Vol. 7476, Springer, 2012. PDF
Higher Order Motion Models and Spectral Clustering
IEEE International Conference on Computer Vision and Pattern Recognition (CVPR), 2012. PDF
2011
Conference papers
Object segmentation in video: a hierarchical variational approach for turning point trajectories into dense regions
IEEE International Conference on Computer Vision (ICCV), 2011. PDF